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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 134640cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134640.cc1 | 134640cj1 | \([0, 0, 0, 254517, 7135738]\) | \(610641930681719/360747465210\) | \(-1077186159157616640\) | \([]\) | \(1797120\) | \(2.1494\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134640cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134640cj do not have complex multiplication.Modular form 134640.2.a.cj
sage: E.q_eigenform(10)